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The search for mathematical roots, 1870-1940 : logics, set theories and the foundations of mathematics from Cantor through Russell to Gödel

Author: I Grattan-Guinness
Publisher: Princeton, N.J. : Princeton University Press, ©2000.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:

Presents the history of a critical period in mathematics that includes accounts of the two principal influences upon Russell around 1900: the set theory of Cantor and the mathematical logic of Peano  Read more...

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Genre/Form: History
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: I Grattan-Guinness
ISBN: 0691058571 9780691058573 069105858X 9780691058580
OCLC Number: 43729112
Description: xiv, 690 p. : ill. ; 24 cm.
Contents: Ch. 1. Explanations --
Ch. 2. Preludes: Algebraic Logic and Mathematical Analysis up to 1870 --
Ch. 3. Cantor: Mathematics as Mengenlehre --
Ch. 4. Parallel Processes in Set Theory, Logics and Axiomatics, 1870s-1900s --
Ch. 5. Peano: the Formulary of Mathematics --
Ch. 6. Russell's Way In: From Certainty to Paradoxes, 1895-1903 --
Ch. 7. Russell and Whitehead Seek the Principia Mathematica, 1903-1913 --
Ch. 8. The Influence and Place of Logicism, 1910-1930 --
Ch. 9. Postludes: Mathematical Logic and Logicism in the 1930s --
Ch. 10. The Fate of the Search --
Ch. 11. Transcription of Manuscripts.
Responsibility: I. Grattan-Guinness.
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"Grattan-Guiness's uniformly interesting and valuable account of the interwoven development of logic and related fields of mathematics ... between 1870 and 1940 presents a significantly revised Read more...

 
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